Equation 53 · Part 2 · A Horizon Is a Toll Booth, Not a Loophole
Symbol Gamma
What this part means
Gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
Gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol Gamma→Article meaning
The passage around this formula
The two calculations agree exactly. This is the covariance check the construction has to pass: [] does not care which energy convention is used, provided the convention is applied consistently — local energy paired with proper time, or Killing energy paired with coordinate time, never a local energy stapled to a coordinate-time integral or the reverse. That last error is precisely the one the naive “free thoughts” argument makes. It takes the huge blueshift factor 1/ multiplying local energy and pairs it with the huge 1/ multiplying elapsed coordinate time, double-counting the same factor as though it were two independent windfalls rather than one factor and its…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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